Pith Number

pith:WBSFSHH2

pith:2012:WBSFSHH25IRRL336EOTZSBMGWW

not attested not anchored not stored refs pending

Difference sets and positive exponential sums I. General properties

Imre Z. Ruzsa, Mate Matolcsi

arxiv:1207.1781 v2 · 2012-07-07 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBSFSHH25IRRL336EOTZSBMGWW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:51:00.074931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b064591cfaea2315ef7e23a7990586b596e5d88920abb94f403188c06c222994

Aliases

arxiv: 1207.1781 · arxiv_version: 1207.1781v2 · doi: 10.48550/arxiv.1207.1781 · pith_short_12: WBSFSHH25IRR · pith_short_16: WBSFSHH25IRRL336 · pith_short_8: WBSFSHH2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WBSFSHH25IRRL336EOTZSBMGWW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b064591cfaea2315ef7e23a7990586b596e5d88920abb94f403188c06c222994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013e70e3db550fb8f66e8461109f520b2441fbba199dd014ab9c4899c0b23e2f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-07T09:13:21Z",
    "title_canon_sha256": "bfa014d108241c34b4d76c9676589486445ddf4d5a00f9f305386aaf90221af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1781",
    "kind": "arxiv",
    "version": 2
  }
}